Let veca=3hati+hatj+2hatk and vecb=hati-...

Let `veca=3hati+hatj+2hatk and vecb=hati-2hatj-4hatk` be the positon vectors of the points A and B respectively. If `vecr` is the position vector of any point `P(x,y,z)` on the plane passing through the point A and perpendiculr to the line AB, then consider the following statements: The locus of `vecr=xhati+yhatj+zhatk` is given by 1. `(vecr.veca).(vecb-veca)=0` 2. `(vecr-veca).(veca-vecb)=0` 3. `2x+3y+6z-21=0` Which of the statements given above are correct? (A) 1,2,and 3 (B) 1 and 2 (C) 1 and 3 (D) 2 and 3

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